• Two Math Faculty to Speak at ICM

    Congratulations to faculty members Pierre-Emmanuel Jabin and Xuhua He who have been selected as invited speakers at the International Congress of Mathematics in Rio de Read More
  • Promotions and New Faculty

    We are delighted to announce that faculty members Jacob Bedrossian, Maria Cameron, Amin Gholampour, and Christian Zickert have been promoted to the rank of Associate Read More
  • William E. Kirwan Distinguished Undergraduate Lectures

    Mathematics for Art Investigation: Mathematical tools for image analysis increasingly play a role in helping art historians and art conservators assess the state of conversation Read More
  • Upcoming Conferences

    We would like to draw your attention to several exciting conferences coming up in the Mathematics Department: The Spring Dynamics Conference, Friday, March 31 - Sunday, Read More
  • Putnam Exam

    We would like to congratulate the University Maryland team on their excellent performance on this year's William Lowell Putnam Mathematical Competition, the premier undergraduate math Read More
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Description

An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss. All sections of the course will use the software package MATLAB. Credit will be granted for only one of the following: MATH 241 or MATH 340.

Prerequisites

MATH 141

Topics

(by chapter)

XI. Vectors, Lines and Planes.

Cartesian coordinates of space
Vectors
Lines
Planes
Dot and cross product

XII. Vector-valued Functions

Vector-valued functions
Tangents
Normals
Curvature

XIII. Partial Derivatives

Quadric surfaces
Partial derivatives
Chain rule
Directional derivatives
Gradients
Extreme values
Lagrange multipliers

XIV. Multiple Integrals

Double and triple integrals
Change of variable
Volume
Surface area
Moments and centers of gravity

XV. Calculus of Vector Fields

Line and surface integrals
Green's theorem
Stokes' theorem
Divergence theorem

  • William E. Kirwan Hall, home of the Mathematics Department

    William E. Kirwan Hall, home of the Mathematics Department

  • The Experimental Geometry Lab explores the structure of low dimensional space

    The Experimental Geometry Lab explores the structure of low dimensional space

  • Maryland mathematicians help to investigate the inner workings of E_8

    Maryland mathematicians help to investigate the inner workings of E_8

  • Hyperbolic Space Tiled with Dodecahedra

    Hyperbolic Space Tiled with Dodecahedra

  • Isotropoic Gaussian random field with Matern correlation

    Isotropoic Gaussian random field with Matern correlation

  • Part of the proof of the Peter-Weyl theorem

    Part of the proof of the Peter-Weyl theorem